Add 35/21 and 27/40
1st number: 1 14/21, 2nd number: 27/40
35/21 + 27/40 is 281/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 21 × 40 = 840,
35/21 = 35 × 40/21 × 40 = 1400/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
27/40 = 27 × 21/40 × 21 = 567/840 - Add the two like fractions:
1400/840 + 567/840 = 1400 + 567/840 = 1967/840 - 1967/840 simplified gives 281/120
- So, 35/21 + 27/40 = 281/120
In mixed form: 241/120
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/21+27/40 35/21+54/40 35/42+27/40 35/21+27/80 35/21+81/40 35/63+27/40